Abstract:A signed graph Γ (G) is a graph with a sign attached to each of its edges, where G is the underlying graph of Γ (G). The energy of a signed graph Γ (G) is the sum of the absolute values of the eigenvalues of the adjacency matrix A(Γ (G)) of Γ (G). The random signed graph model Gn(p, q) is defined as follows: Let p, q ≥ 0 be fixed, 0 ≤ p + q ≤ 1. Given a set of n vertices, between each pair of distinct vertices there is either a positive edge with probability p or a negative edge with probability q, or else the… Show more
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